Search a number
-
+
49298370 = 23511316179
BaseRepresentation
bin1011110000001…
…1101111000010
310102202121122120
42330003233002
5100110021440
64520345110
71136013012
oct274035702
9112677576
1049298370
1125911660
1214615196
13a2a0c44
146793c42
1544dbdd0
hex2f03bc2

49298370 has 128 divisors (see below), whose sum is σ = 137134080. Its totient is φ = 11232000.

The previous prime is 49298363. The next prime is 49298371. The reversal of 49298370 is 7389294.

49298370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49298371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 623991 + ... + 624069.

It is an arithmetic number, because the mean of its divisors is an integer number (1071360).

Almost surely, 249298370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49298370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68567040).

49298370 is an abundant number, since it is smaller than the sum of its proper divisors (87835710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49298370 is a wasteful number, since it uses less digits than its factorization.

49298370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192.

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 49298370 is about 7021.2797978716. The cubic root of 49298370 is about 366.6718080087.

The spelling of 49298370 in words is "forty-nine million, two hundred ninety-eight thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 61 62 66 79 93 110 122 155 158 165 183 186 237 305 310 330 341 366 395 465 474 610 671 682 790 869 915 930 1023 1185 1342 1705 1738 1830 1891 2013 2046 2370 2449 2607 3355 3410 3782 4026 4345 4819 4898 5115 5214 5673 6710 7347 8690 9455 9638 10065 10230 11346 12245 13035 14457 14694 18910 20130 20801 24095 24490 26070 26939 28365 28914 36735 41602 48190 53009 53878 56730 62403 72285 73470 80817 104005 106018 124806 134695 144570 149389 159027 161634 208010 265045 269390 298778 312015 318054 404085 448167 530090 624030 746945 795135 808170 896334 1493890 1590270 1643279 2240835 3286558 4481670 4929837 8216395 9859674 16432790 24649185 49298370